Question

write the point - slope form of the line satisfying the given conditions. then use the point - slope form of the equation to write the slope - intercept form of the equation.
passing through (-2,0) and (0,2)
type the point - slope form of the equation of the line
y - 0 = 1(x + 2)
(simplify your answer. use integers or fractions for any numbers in the equation.)
type the slope - intercept form of the equation of the line
(simplify your answer. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Confirm point-slope form

The given point-slope form using $(-2,0)$ is $y - 0 = 1(x + 2)$, which is valid since the slope $m=\frac{2-0}{0-(-2)}=1$.

Step2: Simplify to slope-intercept form

Expand and rearrange the point-slope equation to $y=mx+b$ form.
$y = x + 2$

Answer:

Point-slope form: $y - 0 = 1(x + 2)$
Slope-intercept form: $y = x + 2$